Finite Group DatabasebetaFinite Group DatabasebetaOrder 2432.
484 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 131 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#10597358 | C2 | semidirect |
| 2. #11927193 | C2 | semidirect |
| 3. #11926922 | C2 | semidirect |
| 4. #11926785 | C2 | semidirect |
| 5. #11926782 | C2 | semidirect |
| 6. #11926747 | C2 | semidirect |
| 7. #11926706 | C2 | semidirect |
| 8. #11926703 | C2 | semidirect |
| 9. D8×Dic19 | C2 | semidirect |
| 10. C8×C22⋊D19 | C2 | semidirect |
| 11. C2×C19×#135 | C2 | semidirect |
| 58. D8×C19 | D4 | semidirect |
| 130. Dic19 | #135 | semidirect |
| 132. C2×#135 | D19 | semidirect |
| 177. C19 | #3283 | semidirect |
| 198. D8 | C22⋊D19 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#10597358 | 2 |
| #11927193 | 2 |
| #11926922 | 2 |
| #11926785 | 2 |
| #11926782 | 2 |
| #11926747 | 2 |
| #11926706 | 2 |
| #11926703 | 2 |
| D8×Dic19 | 2 |
| C8×C22⋊D19 | 2 |
| C2×C19×#135 | 2 |
| #3283 | 19 |